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15420456564 = 22316365312073
BaseRepresentation
bin11100101110010000…
…10111111001110100
31110210200022100122220
432113020113321310
5223040114102224
611030053522340
71054063501212
oct162710277164
943720270586
1015420456564
1165a349a287
122ba43433b0
1315b99a0816
14a63dd1cb2
15603bb9279
hex397217e74

15420456564 has 48 divisors (see below), whose sum is σ = 36260250432. Its totient is φ = 5100371712.

The previous prime is 15420456529. The next prime is 15420456593. The reversal of 15420456564 is 46565402451.

It is a super-3 number, since 3×154204565643 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1271232 + ... + 1283304.

It is an arithmetic number, because the mean of its divisors is an integer number (755421884).

Almost surely, 215420456564 is an apocalyptic number.

It is an amenable number.

15420456564 is an abundant number, since it is smaller than the sum of its proper divisors (20839793868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15420456564 is a wasteful number, since it uses less digits than its factorization.

15420456564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896 (or 12894 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 15420456564 in words is "fifteen billion, four hundred twenty million, four hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 163 326 489 652 653 978 1306 1956 1959 2612 3918 7836 12073 24146 36219 48292 72438 106439 144876 212878 319317 425756 638634 1277268 1967899 3935798 5903697 7871596 7883669 11807394 15767338 23614788 23651007 31534676 47302014 94604028 1285038047 2570076094 3855114141 5140152188 7710228282 15420456564